Euler's Equation Along a Streamline

Wednesday Eulev's equation along a streamline n s ds s 1 dn K In dz P dy you 3 y Consideoring the moving viscous, porticle along S a stream line and neglecting along C - ap as d() 2 dndx - Cpt ap as di) dndx - (igsma) dndsdx = S dndxds as - OP ds dndx - Sg sink dndsda ds dndx S dudrids as OS taking and cancelling - op as - 3g sna = Sas. . Now form a sua = d3 ds - ap - as - sig dz ds = Sas. as = av + vav as = Dt Dv of S

Consideoring force, strady flow and negeting body steady flow of av =0 for non viscon body fore = Ig EO. fluid Inviscid - 2p S (v av ) = as as Pressure gradient = velocity Gradient Pressure reduces = Velocity Increases